

def        snake_case__		(    lowerCamelCase_ = 10     ,				lowerCamelCase_ = 1000     ,				lowerCamelCase_ = True		):
							assert (
							    isinstance(lowerCamelCase_     ,				lowerCamelCase_		)
							    and isinstance(lowerCamelCase_     ,				lowerCamelCase_		)
							    and isinstance(lowerCamelCase_     ,				lowerCamelCase_		)
							), "Invalid type of value(s) specified to function!"

							if min_val > max_val:
														raise ValueError('''Invalid value for min_val or max_val (min_value < max_value)'''		)
							return min_val if option else max_val






def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_		):
							return int((number_a + number_a) / 2		)






def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		):
							assert (
							    isinstance(lowerCamelCase_     ,				lowerCamelCase_		) and isinstance(lowerCamelCase_     ,				lowerCamelCase_		) and isinstance(lowerCamelCase_     ,				lowerCamelCase_		)
							), 'argument values must be type of "int"'

							if lower > higher:
														raise ValueError('''argument value for lower and higher must be(lower > higher)'''		)

							if not lower < to_guess < higher:
														raise ValueError(
														    '''guess value must be within the range of lower and higher value'''		)

							def answer(lowerCamelCase_		) -> str:
														if number > to_guess:
																					return "high"
														elif number < to_guess:
																					return "low"
														else:
																					return "same"

							print('''started...'''		)

							A      :					Tuple      		=					lower
							A      :					Any      		=					higher

							A      :					List[Any]      		=					[]

							while True:
														A      :					str      		=					get_avg(lowerCamelCase_     ,				lowerCamelCase_		)
														last_numbers.append(lowerCamelCase_		)

														if answer(lowerCamelCase_		) == "low":
																					A      :					Union[str, Any]      		=					number
														elif answer(lowerCamelCase_		) == "high":
																					A      :					List[Any]      		=					number
														else:
																					break

							print(F'guess the number : {last_numbers[-1]}'		)
							print(F'details : {last_numbers!s}'		)






def        snake_case__		(    ):
							A      :					Dict      		=					int(input('''Enter lower value : '''		).strip()		)
							A      :					Optional[int]      		=					int(input('''Enter high value : '''		).strip()		)
							A      :					List[Any]      		=					int(input('''Enter value to guess : '''		).strip()		)
							guess_the_number(lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		)


if __name__ == "__main__":
		main()









lowercase			:				Dict   =     [sum(int(c, 10) ** 2 for c in i.__str__()) for i in range(10_00_00)]






def        snake_case__		(    lowerCamelCase_		):
							A      :					List[str]      		=					0
							while number:
														# Increased Speed Slightly by checking every 5 digits together.
														sum_of_digits_squared += DIGITS_SQUARED[number % 100000]
														number //= 100000

							return sum_of_digits_squared


# There are 2 Chains made,
# One ends with 89 with the chain member 58 being the one which when declared first,
# there will be the least number of iterations for all the members to be checked.

# The other one ends with 1 and has only one element 1.

# So 58 and 1 are chosen to be declared at the starting.

# Changed dictionary to an array to quicken the solution
lowercase			:				list[bool | None]   =     [None] * 10_00_00_00
lowercase			:				int   =     True
lowercase			:				Tuple   =     False






def        snake_case__		(    lowerCamelCase_		):

							if CHAINS[number - 1] is not None:
														return CHAINS[number - 1]  # type: ignore

							A      :					int      		=					chain(next_number(lowerCamelCase_		)		)
							A      :					Dict      		=					number_chain

							while number < 10000000:
														A      :					Any      		=					number_chain
														number *= 10

							return number_chain






def        snake_case__		(    lowerCamelCase_ = 10000000		):
							for i in range(1     ,				lowerCamelCase_		):
														if CHAINS[i] is None:
																					chain(i + 1		)

							return CHAINS[:number].count(lowerCamelCase_		)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(F"{solution() = }")






